Photonic bands and gap maps in a photonic crystal slab

Author

Andreani, Lucio Claudio ; Agio, Mario

Author_Institution

INFM & Dipt. di Fisica "A. Volta", Universita di Pavia, Italy

Volume

38

Issue

7

fYear

2002

fDate

7/1/2002 12:00:00 AM

Firstpage

891

Lastpage

898

Abstract

The photonic bands of a two-dimensional (2-D) lattice patterned in a planar waveguide are calculated by expanding the magnetic field on the basis of waveguide modes. The method yields both the truly guided modes of the structure as well as the quasi-guided modes (or guided resonances) which lie above the light line in the first Brillouin zone. Representative results for the photonic bands are shown in the cases of strong- and weak-confinement waveguides patterned with a triangular lattice of holes. The gap maps as a function of hole radius are calculated and show significant differences with respect to the ideal 2-D case. A comparison of the photonic bands with those extracted from the calculated surface reflectance shows very good agreement, thereby indicating the reliability of the approach

Keywords

electromagnetic field theory; magnetic fields; optical waveguide theory; photonic band gap; reflectivity; 2D lattice patterned planar waveguide; first Brillouin zone; gap maps; guided resonances; hole radius; magnetic field; photonic bands; photonic crystal slab; quasi-guided modes; reliability; surface reflectance; triangular hole lattice; truly guided modes; waveguide modes; weak-confinement waveguides; Dielectric constant; Lattices; Magnetic fields; Optical refraction; Optical scattering; Optical waveguides; Photonic crystals; Planar waveguides; Reflectivity; Slabs;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2002.1017603

Filename

1017603